Answer: -24/7.
- A -24/7
- B 24/7
- C -7/24
- D 7/24
Correct answer: A. -24/7
Explanation: Q2: sinθ=3/5, cosθ=−4/5 (cosine is negative in Q2). tanθ=sinθ/cosθ=−3/4. Double-angle formula: tan2θ=2tanθ/(1−tan²θ)=2(−3/4)/(1−9/16)=(−3/2)/(7/16)=−24/7.
Unit circle with standard angles 0, 30, 45, 60, 90 degrees; at 45 degrees the point is (cos45, sin45) = (1/sqrt2, 1/sqrt2).
Concept context
Ratios, identities, and applications in triangles